83879313069249 has 40 divisors (see below), whose sum is σ = 125397159287400. Its totient is φ = 55876726243584.

The previous prime is 83879313069199. The next prime is 83879313069379. The reversal of 83879313069249 is 94296031397838.

83879313069249 is a `hidden beast` number, since 8 + 3 + 8 + 7 + 9 + 313 + 0 + 69 + 249 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15935808513024 + 67943504556225 = 3991968^2 + 8242785^2 .

It is not a de Polignac number, because 83879313069249 - 2⁹ = 83879313068737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83879313029249) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 921371037 + ... + 921462069.

It is an arithmetic number, because the mean of its divisors is an integer number (3134928982185).

Almost surely, 2^{83879313069249} is an apocalyptic number.

It is an amenable number.

83879313069249 is a deficient number, since it is larger than the sum of its proper divisors (41517846218151).

83879313069249 is a wasteful number, since it uses less digits than its factorization.

83879313069249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99631 (or 99622 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 83879313069249 in words is "eighty-three trillion, eight hundred seventy-nine billion, three hundred thirteen million, sixty-nine thousand, two hundred forty-nine".